On the K-theory and homotopy theory of the Klein bottle group

Jens Harlander, Andrew Misseldine

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We construct infinitely many chain homotopically distinct algebraic 2-complexes for the Klein bottle group and give various topological applications. We compare our examples to other examples in the literature and address the question of geometric realizability.

Original languageEnglish
Pages (from-to)63-72
Number of pages10
JournalHomology, Homotopy and Applications
Volume13
Issue number2
DOIs
StatePublished - 2011

Keywords

  • 2-complex
  • Algebraic 2-complex
  • Chain complex
  • Geometric realization
  • Relation module
  • Stably free module

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